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Finding the Fourth Proportional to 82,200.60, 114,818.40 and 82,200.60

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Solution

The fourth proportional to 82,200.60, 114,818.40 and 82,200.60 is: 114,818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,200.60 : 114,818.40 = 82,200.60 : x
  2. Step 2: Convert to fraction form
    82,200.60/114,818.40 = 82,200.60/x
  3. Step 3: Cross multiply
    82,200.60x = 114,818.40 × 82,200.60
  4. Step 4: Simplify right side
    82,200.60x = 9,438,141,371.04
  5. Step 5: Solve for x
    x = 9,438,141,371.04/82,200.60
  6. Step 6: Final answer
    x = 114,818.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.